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Finding the Fourth Proportional to 5,632, 8,451.84 and 1,984

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Solution

The fourth proportional to 5,632, 8,451.84 and 1,984 is: 2,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632 : 8,451.84 = 1,984 : x
  2. Step 2: Convert to fraction form
    5,632/8,451.84 = 1,984/x
  3. Step 3: Cross multiply
    5,632x = 8,451.84 × 1,984
  4. Step 4: Simplify right side
    5,632x = 16,768,450.56
  5. Step 5: Solve for x
    x = 16,768,450.56/5,632
  6. Step 6: Final answer
    x = 2,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.